Geometry & Topology Volume 23, issue 5 (2019)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Spherical CR uniformization of Dehn surgeries of the Whitehead link complement

Miguel Acosta

Geometry & Topology 23 (2019) 2593–2664

DOI: 10.2140/gt.2019.23.2593

Bibliography

1	M Acosta, Spherical CR Dehn surgeries, Pacific J. Math. 284 (2016) 257 MR3544300
2	M Acosta, Character varieties for real forms, Geom. Dedicata (2019)
3	M Deraux, Deforming the ℝ–Fuchsian (4,4,4)–triangle group into a lattice, Topology 45 (2006) 989 MR2263221
4	M Deraux, On spherical CR uniformization of 3–manifolds, Exp. Math. 24 (2015) 355 MR3359222
5	M Deraux, A 1–parameter family of spherical CR uniformizations of the figure eight knot complement, Geom. Topol. 20 (2016) 3571 MR3590357
6	M Deraux, E Falbel, Complex hyperbolic geometry of the figure-eight knot, Geom. Topol. 19 (2015) 237 MR3318751
7	E Falbel, A spherical CR structure on the complement of the figure eight knot with discrete holonomy, J. Differential Geom. 79 (2008) 69 MR2401419
8	E Falbel, A Guilloux, P V Koseleff, F Rouillier, M Thistlethwaite, Character varieties for SL(3, ℂ) : the figure eight knot, Exp. Math. 25 (2016) 219 MR3463570
9	E Falbel, N Gusevskii, Spherical CR-manifolds of dimension 3, Bol. Soc. Brasil. Mat. 25 (1994) 31 MR1274761
10	E Falbel, P V Koseleff, F Rouillier, Representations of fundamental groups of 3–manifolds into PGL(3, ℂ) : exact computations in low complexity, Geom. Dedicata 177 (2015) 229 MR3370032
11	W M Goldman, Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3–manifolds, Trans. Amer. Math. Soc. 278 (1983) 573 MR701512
12	W M Goldman, Complex hyperbolic geometry, Clarendon (1999) MR1695450
13	W M Goldman, J R Parker, Complex hyperbolic ideal triangle groups, J. Reine Angew. Math. 425 (1992) 71 MR1151314
14	A Guilloux, P Will, On SL(3, ℂ)–representations of the Whitehead link group, Geom. Dedicata 202 (2019) 81 MR4001809
15	A Lubotzky, A R Magid, Varieties of representations of finitely generated groups, 336, Amer. Math. Soc. (1985) MR818915
16	J R Parker, Complex hyperbolic Kleinian groups, (2020)
17	J R Parker, J Wang, B Xie, Complex hyperbolic (3,3,n) triangle groups, Pacific J. Math. 280 (2016) 433 MR3453571
18	J R Parker, P Will, A complex hyperbolic Riley slice, Geom. Topol. 21 (2017) 3391 MR3692969
19	R E Schwartz, Ideal triangle groups, dented tori, and numerical analysis, Ann. of Math. 153 (2001) 533 MR1836282
20	R E Schwartz, Complex hyperbolic triangle groups, from: "Proceedings of the International Congress of Mathematicians, II" (editor T Li), Higher Ed. (2002) 339 MR1957045
21	R E Schwartz, A better proof of the Goldman–Parker conjecture, Geom. Topol. 9 (2005) 1539 MR2175152
22	R E Schwartz, Spherical CR geometry and Dehn surgery, 165, Princeton Univ. Press (2007) MR2286868
23	W P Thurston, The geometry and topology of three-manifolds, lecture notes (1979)
24	P Will, Two-generator groups acting on the complex hyperbolic plane, from: "Handbook of Teichmüller theory, VI" (editor A Papadopoulos), IRMA Lect. Math. Theor. Phys. 27, Eur. Math. Soc. (2016) 275 MR3618192